Pith Number

pith:WAGDDB34

pith:2010:WAGDDB34KVAYEPJEUILQ636G7U

not attested not anchored not stored refs pending

An infinite family of Legendrian torus knots distinguished by cube number

Ben McCarty

arxiv:1012.4482 v1 · 2010-12-20 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAGDDB34KVAYEPJEUILQ636G7U}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:32:54.233448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b00c31877c5541823d24a2170f6fc6fd15820c3301d3dcb3327dfda47cdf1d53

Aliases

arxiv: 1012.4482 · arxiv_version: 1012.4482v1 · doi: 10.48550/arxiv.1012.4482 · pith_short_12: WAGDDB34KVAY · pith_short_16: WAGDDB34KVAYEPJE · pith_short_8: WAGDDB34

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WAGDDB34KVAYEPJEUILQ636G7U \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b00c31877c5541823d24a2170f6fc6fd15820c3301d3dcb3327dfda47cdf1d53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15970d1a356cf52a036fe0f9913a7ee68fbc964bf02184903766bc91504c4599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-12-20T21:27:49Z",
    "title_canon_sha256": "373c6046d54ffc0c8e2ea6726d7f13018ff4967f447e5e4141d92caa4b7818b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4482",
    "kind": "arxiv",
    "version": 1
  }
}